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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2506.02870 |
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| _version_ | 1866909635056762880 |
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| author | Xiang, Jianli |
| author_facet | Xiang, Jianli |
| contents | In this work, we consider the time-harmonic inverse elastic source problem of a fixed frequency for the Navier equation in two dimensions. We show that a convex polygon can be uniquely determined by a single far field measurement. Our approach relies on the corner singularity analysis of solutions to the inhomogeneous Navier equation with a source term in a sector. This paper also contributes to corner scattering theory for the Navier equation in an non-convex domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_02870 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uniqueness in determining a convex polygonal source of an elastic body Xiang, Jianli Analysis of PDEs In this work, we consider the time-harmonic inverse elastic source problem of a fixed frequency for the Navier equation in two dimensions. We show that a convex polygon can be uniquely determined by a single far field measurement. Our approach relies on the corner singularity analysis of solutions to the inhomogeneous Navier equation with a source term in a sector. This paper also contributes to corner scattering theory for the Navier equation in an non-convex domain. |
| title | Uniqueness in determining a convex polygonal source of an elastic body |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2506.02870 |